LANGUAGE MECHANICS / REFERENCE LEDGER
Complete reference ledger
The named works, standards, and source coordinates carried into Language Mechanics: Axiomatic Closure.
How to read this ledger
Direct source
Supports a definition, formal construction, measurement practice, or field adapter used in the paper.
Historical coordinate
Marks a named construction in the carried lineage and preserves its author, title, and publication address.
Bibliographic form follows the source language where practical. Translation details are named when an English edition is the access coordinate. Digital object identifiers and official publication pages are included when they provide a stable route back to the source.
A. Human conditions, language, and measurement
World Health Organization, United Nations Children’s Fund, and World Bank Group. 2018. Nurturing Care for Early Childhood Development: A Framework for Helping Children Survive and Thrive to Transform Health and Human Potential. Geneva: World Health Organization. Official record
Paper relation: Direct context for the material conditions of early human carriage.
Wittgenstein, Ludwig. 1953. Philosophical Investigations. Translated by G. E. M. Anscombe. Oxford: Basil Blackwell.
Paper relation: Historical coordinate for the use of language in shared practices.
Peano, Giuseppe. 1889. Arithmetices principia, nova methodo exposita. Turin: Fratres Bocca.
Paper relation: Direct source coordinate for successor-based arithmetic and the displayed derivation of 1 + 1 = 2.
Joint Committee for Guides in Metrology. 2012. International Vocabulary of Metrology—Basic and General Concepts and Associated Terms (VIM). 3rd ed. JCGM 200:2012. doi:10.59161/JCGM200-2012
Paper relation: Direct source for the vocabulary of measurement, reference, and comparison.
Joint Committee for Guides in Metrology. 2008. Evaluation of Measurement Data—Guide to the Expression of Uncertainty in Measurement. JCGM 100:2008. doi:10.59161/JCGM100-2008E
Paper relation: Direct source for stated uncertainty and empirical equality at declared resolution.
Bureau International des Poids et Mesures. 2019. The International System of Units (SI). 9th ed. Sèvres: BIPM. Official record
Paper relation: Direct source coordinate for standardized units and traceable comparison.
International Commission on Illumination. 2019. Colorimetry—Part 1: CIE Standard Colorimetric Observers. ISO/CIE 11664-1:2019(E). Vienna: CIE. Official record
Paper relation: Direct source for declared color observer and colorimetric comparison.
Newton, Isaac. 1704. Opticks: Or, a Treatise of the Reflections, Refractions, Inflections and Colours of Light. London: Sam. Smith and Benjamin Walford.
Paper relation: Historical coordinate for optics and the rainbow example.
B. Field, symmetry, quantum state, and phase
Maxwell, James Clerk. 1865. “A Dynamical Theory of the Electromagnetic Field.” Philosophical Transactions of the Royal Society of London 155: 459–512. doi:10.1098/rstl.1865.0008
Paper relation: Historical coordinate for field representation.
Einstein, Albert. 1905. “Zur Elektrodynamik bewegter Körper.” Annalen der Physik 17: 891–921. doi:10.1002/andp.19053221004
Paper relation: Historical coordinate for the relation of inertial frame and event.
Einstein, Albert. 1916. “Die Grundlage der allgemeinen Relativitätstheorie.” Annalen der Physik 49: 769–822. doi:10.1002/andp.19163540702
Paper relation: Historical coordinate for geometric field formulation.
Noether, Emmy. 1918. “Invariante Variationsprobleme.” Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse 1918: 235–257.
Paper relation: Historical coordinate for symmetry and conserved relation.
Schrödinger, Erwin. 1926. “Quantisierung als Eigenwertproblem.” Annalen der Physik 79: 361–376, 489–527; 80: 437–490; 81: 109–139. Part I DOI
Paper relation: Direct historical coordinate for quantum evolution.
Dirac, P. A. M. 1928. “The Quantum Theory of the Electron.” Proceedings of the Royal Society A 117 (778): 610–624. doi:10.1098/rspa.1928.0023
Paper relation: Direct historical coordinate for quantum formalism.
von Neumann, John. 1932. Mathematische Grundlagen der Quantenmechanik. Berlin: Julius Springer.
Paper relation: Direct source coordinate for state, observable, and measurement reader.
Aharonov, Yakir, and David Bohm. 1959. “Significance of Electromagnetic Potentials in the Quantum Theory.” Physical Review 115 (3): 485–491. doi:10.1103/PhysRev.115.485
Paper relation: Direct historical coordinate for path-sensitive quantum comparison.
Simon, Barry. 1983. “Holonomy, the Quantum Adiabatic Theorem, and Berry’s Phase.” Physical Review Letters 51 (24): 2167–2170. doi:10.1103/PhysRevLett.51.2167
Paper relation: Direct source coordinate for holonomy and adiabatic return.
Berry, M. V. 1984. “Quantal Phase Factors Accompanying Adiabatic Changes.” Proceedings of the Royal Society A 392: 45–57. doi:10.1098/rspa.1984.0023
Paper relation: Direct source coordinate for geometric phase as a path-sensitive difference.
C. Classical construction and algebraic form
Euclid. c. 300 BCE. The Elements. Translated by Thomas L. Heath. 3 vols. Cambridge: Cambridge University Press, 1908.
Paper relation: Historical coordinate for construction, proof, and geometric relation.
Brahmagupta. 628. Brāhmasphuṭasiddhānta. In Henry Thomas Colebrooke, Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bháscara. London: John Murray, 1817.
Paper relation: Historical coordinate for arithmetic operations and zero.
Fibonacci, Leonardo. 1202. Liber abaci. English translation by Laurence E. Sigler, Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation. New York: Springer, 2002.
Paper relation: Historical coordinate for calculation and transmission.
Euler, Leonhard. 1748. Introductio in analysin infinitorum. Lausanne: Marc-Michel Bousquet.
Paper relation: Historical coordinate for analysis and functional representation.
Lagrange, Joseph-Louis. 1788. Mécanique analytique. Paris: Veuve Desaint.
Paper relation: Historical coordinate for analytical mechanics.
Gauss, Carl Friedrich. 1801. Disquisitiones Arithmeticae. Leipzig: Gerh. Fleischer jun.
Paper relation: Historical coordinate for number-theoretic structure.
Grassmann, Hermann. 1844. Die lineale Ausdehnungslehre, ein neuer Zweig der Mathematik. Leipzig: Otto Wigand.
Paper relation: Historical coordinate for extension and algebraic space.
Riemann, Bernhard. 1867. “Über die Hypothesen, welche der Geometrie zu Grunde liegen.” Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen 13: 1–20. (Habilitation lecture, 1854.)
Paper relation: Historical coordinate for manifold geometry.
Cayley, Arthur. 1858. “A Memoir on the Theory of Matrices.” Philosophical Transactions of the Royal Society of London 148: 17–37. doi:10.1098/rstl.1858.0003
Paper relation: Historical coordinate for matrix operation.
D. Inheritance, probability, topology, formal horizon, and transmission
Mendel, Gregor. 1866. “Versuche über Pflanzen-Hybriden.” Verhandlungen des naturforschenden Vereines in Brünn 4: 3–47.
Paper relation: Historical coordinate for patterned inheritance.
Boltzmann, Ludwig. 1877. “Über die Beziehung zwischen dem zweiten Hauptsatze der mechanischen Wärmetheorie und der Wahrscheinlichkeitsrechnung respektive den Sätzen über das Wärmegleichgewicht.” Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften in Wien 76: 373–435.
Paper relation: Historical coordinate for probability, state, and coarse-grained description.
Poincaré, Henri. 1895. “Analysis Situs.” Journal de l’École polytechnique, 2nd series, 1: 1–121.
Paper relation: Historical coordinate for topology and invariant relation.
Gödel, Kurt. 1931. “Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I.” Monatshefte für Mathematik und Physik 38: 173–198. doi:10.1007/BF01700692
Paper relation: Historical coordinate for formal horizon and incompleteness.
Rosser, J. Barkley. 1936. “Extensions of Some Theorems of Gödel and Church.” Journal of Symbolic Logic 1 (3): 87–91. doi:10.2307/2269028
Paper relation: Historical coordinate for refinement of formal undecidability.
Turing, Alan M. 1936. “On Computable Numbers, with an Application to the Entscheidungsproblem.” Proceedings of the London Mathematical Society, series 2, 42 (1): 230–265. doi:10.1112/plms/s2-42.1.230
Paper relation: Historical coordinate for computation and mechanical procedure.
Hodge, W. V. D. 1941. The Theory and Applications of Harmonic Integrals. Cambridge: Cambridge University Press.
Paper relation: Historical coordinate for harmonic form and geometric analysis.
Shannon, Claude E. 1948. “A Mathematical Theory of Communication.” Bell System Technical Journal 27: 379–423, 623–656. Part I DOI
Paper relation: Historical coordinate for transmission, signal, and stated channel relation.
E. Present corpus coordinate
Coppa, Anthony Vito. 2026. The Architecture of Silence: Formal Reference / Open Library. Thirty-two-paper architecture and associated models. Site library
Paper relation: Present corpus coordinate. The Language Mechanics basis gives this paper its local architectural placement.
Coppa, Anthony Vito. 2026. Return Curvature & Memory: A Minimal Translation Table for Existing Formalisms. Working note, 24 January 2026. PDF
Paper relation: Direct source for the return/accumulation translation table introduced on the Architecture page.